A sharp refinement of a result of Zverovich--Zverovich

preprint2013arXivOpen access

Abstract

For a finite sequence of positive integers to be the degree sequence of a finite graph, Zverovich and Zverovich gave a sufficient condition involving only the length of the sequence, its maximal element and its minimal element. In this paper we give a sharp refinement of Zverovich--Zverovich's result.

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